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Finding the Fourth Proportional to 213,624.90, 320,409.54 and 55,865.52

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Solution

The fourth proportional to 213,624.90, 320,409.54 and 55,865.52 is: 83,791.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,624.90 : 320,409.54 = 55,865.52 : x
  2. Step 2: Convert to fraction form
    213,624.90/320,409.54 = 55,865.52/x
  3. Step 3: Cross multiply
    213,624.90x = 320,409.54 × 55,865.52
  4. Step 4: Simplify right side
    213,624.90x = 17,899,845,565.06
  5. Step 5: Solve for x
    x = 17,899,845,565.06/213,624.90
  6. Step 6: Final answer
    x = 83,791.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.